What is 6.26 percent of 829 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 829 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 829 is 100%, so we can write it down as 829=100%.
4. We know, that x is 6.26% of the output value, so we can write it down as x=6.26%.
5. Now we have two simple equations:
1) 829=100%
2) x=6.26%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
829/x=100%/6.26%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 6.26% of 829

829/x=100/6.26
(829/x)*x=(100/6.26)*x       - we multiply both sides of the equation by x
829=15.974440894569*x       - we divide both sides of the equation by (15.974440894569) to get x
829/15.974440894569=x
51.8954=x
x=51.8954

now we have:
6.26% of 829=51.8954